Algebra
# Polynomial Factoring

Which of the following must be a factor of

\[ x^3 + 8 ? \]

Note: \( a^3 + b^3 = ( a + b ) ( a^2 - ab + b^2 ) .\)

Using the identity \( a^2 - b^2 = (a-b) ( a+b) \), which of the following must be a factor of

\[ x^4 + 2500 ? \]

**non-positive integers** such that the following is an algebraic identity in \(x\): \[(x-a)^2(x+a)^2=x^4+bx^3+cx^2+dx+256.\] What is the value of \(-a-b-c-d\)?

Which of the following is a factor of \(x^4 - 81\)?